Prime p₀= 2013710669838184319 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 122
Found by: Chooka
db: batch=80, k=10, 2 28 2 28 2

STPT(10)	2013708856354840829	0 2 18 20 30 32 42 44 60 62	-1813483343490
SPT(20)	2013709036274635253	0 24 38 66 68 108 114 140 186 198 206 218 264 290 296 336 338 366 380 404	-1633563549066
SPT(16)	2013709447747064203	0 24 34 64 66 70 126 154 156 184 240 244 246 276 286 310	-1222091120116
SPT(16)	2013709518996333203	0 6 8 56 66 110 128 156 188 216 234 278 288 336 338 344	-1150841851116
SPT(16)	2013709738116092663	0 20 38 66 80 98 164 168 236 240 306 324 338 366 384 404	-931722091656
STPT(10)	2013710593986385067	0 2 42 44 72 74 102 104 144 146	-75851799252
SPT(16)	2013710703786257527	0 30 34 72 106 126 130 154 162 186 190 210 244 282 286 316	33948073208
SPT(16)	2013711476701839613	0 34 46 54 90 96 150 178 216 244 298 304 340 348 360 394	806863655294
SPT(16)	2013711694149545353	0 40 60 66 120 124 148 186 238 276 300 304 358 364 384 424	1024311361034
TPT(14)	2013711927690343667	0 2 24 26 90 92 150 152 174 176 204 206 222 224	1257852159348
STPT(12)	2013712012768238969	0 2 30 32 42 44 90 92 102 104 132 134	1342930054650